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Finding the Third Proportional to 135,884 and 195,726

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Solution

The third proportional to 135,884 and 195,726 is: 281,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,884 : 195,726 = 195,726 : x
  2. Step 2: Convert to fraction form
    135,884/195,726 = 195,726/x
  3. Step 3: Cross multiply
    135,884x = 195,726 × 195,726
  4. Step 4: Simplify right side
    135,884x = 38,308,667,076
  5. Step 5: Solve for x
    x = 38,308,667,076/135,884
  6. Step 6: Final answer
    x = 281,921.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.